Trojan

About: Trojan is a research topic. Over the lifetime, 2028 publications have been published within this topic receiving 33209 citations.

Earth-moon libration points: Theory, existence and applications

Abstract: The availability of reliable satellites and space probes makes it timely to review our state of knowledge in detail on all aspects of our solar system so that these new tools can be used to maxi-mum advantage in scientific exploration and technical use. Earth-Moon libration points have been of theoretical interest as a concrete example in the three body problem. In analogy with the Trojan Asteroids they may also be collection points for dust or particles or other “small” bodies which are shown to be of geophysical interest. Finally, they may find use in applications where relatively long time stationary behavior relative to the Earth and the Moon is desirable; for example: for long term Solar observation or as a communication link. The leading question of interest at the present is confirmation of reported ground observations on dust clouds in the vicinity of the stable points through satellite based observations.

A secular theory for Trojan-type motion

Abstract: We derive a secular theory for Trojan-type motion in the framework of the restricted three-body problem, which is valid inside the entire regular coorbital region. We show that under certain conditions it is possible to extend the theory to include the secular perturbations from additional bodies and an oblate central mass. We are then able to predict the location of linear secular resonances which may play an important role in determining the long-term stability of Trojan orbits associated with planets or satellites.

Trojan capture by terrestrial planets

Abstract: The paper is devoted to investigate the capture of asteroids by Venus, Earth and Mars into the 1:1 mean motion resonance especially into Trojan orbits. Current theoretical studies predict that Trojan asteroids are a frequent by-product of the planet formation. This is not only the case for the outer giant planets, but also for the terrestrial planets in the inner Solar System. By using numerical integrations, we investigated the capture efficiency and the stability of the captured objects. We found out that the capture efficiency is larger for the planets in the inner Solar System compared to the outer ones, but most of the captured Trojan asteroids are not long term stable. This temporary captures caused by chaotic behaviour of the objects were investigated without any dissipative forces. They show an interesting dynamical behaviour of mixing like jumping from one Lagrange point to the other one.

The Trojan Manifold — Survey and Conjectures

Abstract: Recent results concerning the families of periodic orbits emanating from the triangular equilibrium L 4 are interpreted in an attempt to establish the evolution of these manifolds as the mass ratio varies from Routh’s critical value down to its value in the system sun-jupiter.